{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "d2273d27-dc55-47a3-bfc2-1c487ae1ccc7",
   "metadata": {},
   "source": [
    "Chapter 18\n",
    "# 特殊图的关联矩阵\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "63e426d4-bb06-4fab-afc6-31852d6390e7",
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "import random\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d5d99fb5-e698-4ce8-83be-4a5de447309f",
   "metadata": {},
   "outputs": [],
   "source": [
    "def visualize(G, pos, fig_title):\n",
    "    fig, axs = plt.subplots(nrows = 1, ncols = 2,\n",
    "                            figsize = (12,6))\n",
    "    \n",
    "    # 左子图\n",
    "    nx.draw_networkx(G, \n",
    "                     ax = axs[0],\n",
    "                     pos = pos,\n",
    "                     with_labels = False,\n",
    "                     node_size = 28) \n",
    "    axs[0].set_aspect('equal', adjustable='box')\n",
    "    axs[0].axis('off')\n",
    "    \n",
    "    # 关联矩阵\n",
    "    A = nx.incidence_matrix(G).todense()\n",
    "    \n",
    "    # 右子图\n",
    "    sns.heatmap(A, cmap = 'Blues', \n",
    "                ax = axs[1],\n",
    "                annot = False,\n",
    "                xticklabels = [], \n",
    "                yticklabels = [],\n",
    "                linecolor = 'k', square = True,\n",
    "                linewidths = 0.2, cbar = False)\n",
    "    \n",
    "    plt.savefig(fig_title + '.svg')\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "357f2f13-4ee3-4252-9cff-2611fa4829c3",
   "metadata": {},
   "source": [
    "## 完全图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "78c983fc-1109-41fd-9af2-393228d146e7",
   "metadata": {},
   "outputs": [],
   "source": [
    "G_complete = nx.complete_graph(12) \n",
    "pos = nx.circular_layout(G_complete)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "66d4b33a-a781-4e3c-80b3-80aeccb197cf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize(G_complete, pos, '完全图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20f4984c-ecbb-4af6-aeba-d69daf252b14",
   "metadata": {},
   "source": [
    "## 完全二分图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "d957bbc9-bc3e-4d75-b6f5-1853ce64214d",
   "metadata": {},
   "outputs": [],
   "source": [
    "G_complete_bipartite = nx.complete_bipartite_graph(5,7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "2ef0505d-ee32-4400-9a8c-1606a6ec997c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "left = nx.bipartite.sets(G_complete_bipartite)[0]\n",
    "pos = nx.bipartite_layout(G_complete_bipartite, left)\n",
    "visualize(G_complete_bipartite, pos, '完全二分图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6680323e-a0d1-479e-bc04-ba688f5c8707",
   "metadata": {},
   "source": [
    "## 正四面体图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7124e44c-9a3c-47e4-89c5-f958b14d4bd3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tetrahedral_graph = nx.tetrahedral_graph() \n",
    "pos = nx.spring_layout(tetrahedral_graph)\n",
    "visualize(tetrahedral_graph, pos, '正四面体图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5120b6cd-d7a0-4bb7-bf69-91e4f63e9bfe",
   "metadata": {},
   "source": [
    "## 正六面体图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a9f78aa4-2978-48f1-b8a5-a4667aae08c7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cubical_graph = nx.cubical_graph() \n",
    "pos = nx.spring_layout(cubical_graph)\n",
    "visualize(cubical_graph, pos, '正六面体图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e2a057e-cee8-46e6-a4c7-390bf56fd7db",
   "metadata": {},
   "source": [
    "## 正八面体图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "e0c8d41a-c0a1-4dc2-9ddf-e7222ab334ca",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "octahedral_graph = nx.octahedral_graph() \n",
    "pos = nx.spring_layout(octahedral_graph)\n",
    "visualize(octahedral_graph, pos, '正八面体图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18f3ce5c-f73a-46f1-932c-4edd46ed939d",
   "metadata": {},
   "source": [
    "## 正十二面体图 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "b85e134b-257c-4517-a4bd-139fddb14973",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dodecahedral_graph = nx.dodecahedral_graph() \n",
    "pos = nx.spring_layout(dodecahedral_graph)\n",
    "visualize(dodecahedral_graph, pos, '正十二面体图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f7a74a94-3b49-47e4-b385-9adc09c36bc4",
   "metadata": {},
   "source": [
    "## 正二十面体图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "3d8f05ec-fbf5-451d-9a59-4c64b66b149d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "icosahedral_graph = nx.icosahedral_graph() \n",
    "pos = nx.spring_layout(icosahedral_graph)\n",
    "visualize(icosahedral_graph, pos, '正二十面体图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3084c02c-5087-40af-95ff-3c3cd4cd0969",
   "metadata": {},
   "source": [
    "## 平衡树"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "0c6f535a-b219-4b78-84f9-b7bdb8ac6fde",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "balanced_tree = nx.balanced_tree(3,3) \n",
    "pos = nx.spring_layout(balanced_tree)\n",
    "visualize(balanced_tree, pos, '平衡树')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d073aa39-5d6f-4fe0-ba88-e704a70eafce",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f5b71365-c5a7-43bb-a26e-126c26b2c431",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
